What is the Least Common Multiple of 22544 and 22560?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 22544 and 22560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22544 and 22560, than apply into the LCM equation.

GCF(22544,22560) = 16
LCM(22544,22560) = ( 22544 × 22560) / 16
LCM(22544,22560) = 508592640 / 16
LCM(22544,22560) = 31787040

Least Common Multiple (LCM) of 22544 and 22560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22544 and 22560. First we will calculate the prime factors of 22544 and 22560.

Prime Factorization of 22544

Prime Factorization of 22560

Now multiplying the highest exponent prime factors to calculate the LCM of 22544 and 22560.

LCM(22544,22560) = 2⁵ × 1409¹ × 3¹ × 5¹ × 47¹
LCM(22544,22560) = 31787040